Hello again Mr. E:
I was assuming we would fly, but your advice, once again, is saving me time, treasure, & trouble.
The train appears to be the better option all around from a Vienna to Budapest connection.
An added bonus I assume is that if we are not flying, I will not need to worry about the weight of my toothpaste tube and the amount of shampoo I have in my suitcase in order to get from Vienna to Budapest! JOY!
We expect to stay at the 3 Corner's Hotel Ave Hotel, near to Oktagon. You are correct that Hotel Three Corner's Ave is running about 133.20 Euro per night for 2 persons for a weekday, and about 151.20 Euro per night Saturday/Sunday, when directly booking, at a rate allowing a full refund with reasonable prior notice of cancellation. There was no "bump" in rate related to the weekday Republic Day Holiday in our case, that I can see.
Fun facts: Hotel Austria in Vienna charges roughly 136.5 Euro per night for a standard double room, direct book, fully refundable with reasonable prior notice, this rate being based (so I was informed) on an 8% early bird discount, and the rate includes a breakfast and 24-hour reception. I can no longer see a breakdown of cost per night, but this average cost per night rate is based on a saying over a weekend. Nicht schlecht. In contrast, Pension Suzanne in Vienna was charging roughly 194Euro per night for the same kind of room, similar full refund policy, also over a weekend, and does not include breakfast and reception closes at 11pm at night.