Germany train travel

To answer your question, if you are going from A to C and getting off at B, hop back later on to go to C, that ride is counted as one day, as long as it is on the same day...nothing changes. I use a pass in Germany.

Your question is like what I often do: take the night train, say, from Munich to Hamburg, arriving in the morning. On the pass I write in the date of arrival, which will be punched shortly upon boarding. Then after getting off in Hamburg, checking in (the hotel is opposite of the station), having lunch, etc, I get back on the train to go to Kiel or Schleswig for a day trip That evening I return to Hamburg....all counted as using one travel day

One day of a rail pass is one day of unlimited rail travel, as long as all the travel is in that calendar day.

Unless you get sharp like Fred, and board a night train after 7 pm, then that counts as the next day. But you cannot have used the pass that day beforehand, and the train you board has to terminate after 4 am the next day.

Although often more expensive than point to point, I loved the freedom to get on and off on my own schedule with the pass.

Unless you are using long distance trains, Regional passes give you the same flexibility benefits as rail passes, for less money. And, BTW, you can take breaks in your travel with any point-point ticket.

Regional passes give you the same flexibility benefits as rail passes,

No, Regional day passes are actually a lot better than national and international passes, they include most rural buses and city transport (U-Bahn, bus, tram); national and international passes do not.
They also give large discounts for 2 or more people travelling together, for example €25 for the first person, but only €6 per person for the 2nd, 3rd etc.person.
They are however only valid after 09:00 on weekdays (no limit Saturday and Sunday).

They are called "Länder tickets". A Land (plural Länder) is a German state, and they cover (usually) 1 Land.
Info in English here: https://www.bahn.com/en/view/offers/regional/regional-day-tickets.shtml

A pass (of any kind) offers unlimited travel within the geographical and time limits. You can get on and off as many trains as you like.

Regional day passes are actually a lot better than national and international passes

Yes, the regional day passes do offer benefits, like local transport, that are not offered with rail passes. But people often promote rail passes as having the benefit of flexibility, because you can get on any train that day going anywhere, and, if you see an inviting place along the way, you can stop and explore it. However, my point is that, within the limitation of regional trains in a single Land, regional passes are just as flexible, and a lot less expensive.

One also needs to know that Saver Fare tickets have some flexibility, as well, although one has to plan for it. (Plan for flexibility, Hmm) If you know that you are going to want to stop over in town B between A and C, you can schedule the stopover for a set length of time at no extra cost when booking a Saver Fare ticket. Of course, if the stopover is in the middle of a long distance train leg, you must adhere to the predetermined stopover time, as the long distance train legs on either side of the stopover are still specified, and you must use ony those specified trains. But, it is also possible to use the "mode of transport" function to specify regional trans after the stopover. Since regional trains are not specific, as are long distance trains, you can stay at the stopover as long as you like, as long as you complete the trip by 10 AM the following morning (Vor- und Nachlauf rule).

So, you see, it is not such a simple matter to justify the cost of a rail pass based solely on "flexibility".

I have used Saver Fare tickets. However, I usually only use them for longer journeys that take most of a day. In that case, if I do not take an early train in the morning, I would arrive at my destination later than I would like. So, in those cases, I am usually "stuck" with a specific train, anyway.

A few years ago, someone on one of these forums wanted to go from Amsterdam to Bacharach using a Saver Fare. They also wanted to stop in Köln, but they didn't know for how long. It seemed that when they put in a stopover time in Köln, the website still had them traveling from Köln to Koblenz on an IC, which was train specific on the ticket. I had them put in a nominal stopover in Köln, then go into "Modes of Transport" and delete all long distance trains from the Köln to Koblenz leg. This way, all of the travel after Köln was regional and they could take any regional trains to Bacharach (Vor- und Nachlauf rule) as long as they arrived there before 10 AM the following morning.