Will we ever know what they bid? There are a lot of people here doing a lot of assuming. I don't know what the offer is. Generically, it is just stupid to go into bidding wars with people when there are better alternatives available. Others don't know either... but they're certain that whatever Mizzou offers... Spyre should offer more. Apparently they think these few guys are the only ones out there with talent.
UT needs to have discipline. A solid NIL offer has to be part of it but if a recruit is too heavily influenced by that then you have to let them go. Let's say that Nwaneri takes a big NIL offer from Mizzou. UT can probably get 2 guys who have as much potential but less development. That is higher risk in a one to one comparison vs Nwaneri (in theory) but together it may yield a greater likelihood of producing a great player.
The truth is that we seldom know truly why recruits choose who they choose. The reasons are as individual as the kids are. All will be influenced by NIL some. But there was an article not long ago claiming that Bama and UGA don't offer as much as others. They sell a "long vision" of who will get them to the next level and best eventual NIL pay out. IOW's, "become the starting RB at our school and you'll double or triple what you are being offered elsewhere." Some kids want a guarantee. Some can be moved by a challenge like that.
UT seems to be more middle of the road. They sell both the opportunity and good "immediate gratification".