Man, I'm hoping Tulsa puts on a much better face than I see people expecting, but size is definitely an issue.
By most measures, Little Ceasers Arena is bigger than the BOK, 19,515 compared to 17,096 for Hockey, 20,322 to 17,839 for Basketball. I'm not sure how wrestling capacity compares exactly to those, but I would expect a similar reduction.
There flat out aren't enough hotels in downtown. The city even recognizes this, https://tulsaworld.com/business/local/how-many-hotel-rooms-in-downtown-tulsa-will-bring-in-bigger-events-2-200-isnt/article_eb21f8f8-eb31-11ec-9f82-3fb814b0e457.html
I think some people's ideas about Tulsa are a little colored by Big 12s and things being closed on the weekend right next to the arena, especially on Sunday. That won't be as much of a problem for NCAAs since it takes place Th-Sat.
OSU has announced they are going to have a Fan Fest with food trucks and cash bar in the convention center. I believe the city is separately going to have a separate fan fest with a similar setup in the convention center. The city is also going to meet with the downtown and hopefully surrounding restaurants/bars to hopefully get them fully prepared for the influx from a staffing perspective.