It shouldn't do, as you are on Avanti who are unaffected.
However the semi fast Crewe to Euston LNWR hourly service will be cancelled.
So all those passengers will have to travel on Avanti, putting pressure on seats.
I was on the 10 car LNWR semi fasts today, and they are well used, partly because they are as cheap as chips.
I usually do Crewe to Euston for under £10 on the semi fasts, with a railcard, booked a few weeks ahead.
I would be getting in quick to get a well priced ticket. On the direct trains at 32 past the hour, the best priced trains are the 1032 onwards.
On the 58 past the hour, change at Crewe, the best prices by some margin currently are split tickets - Chester to Crewe Advance, and Crewe to Euston Advance.
The most you can pay is £79.80 Off Peak Single but the 1132 direct is £50 as of tonight, and some of the 58 past on split tickets are around £50 as well.
All fares quoted are before railcard discounts.