assuming both schools spend their money correctly, equal spending results in basically a wash between the schools. if you think you can put more money into the recruit, no matter which school you are, i'd go for it.
note: this is assuming a middle of the road A+ and B-. A+ prestige does not seem to be capped, although nobody knows for sure. if that A+ is like, kentucky coming off a championship, they could have significantly higher than an average a+ prestige, and thus, a decent advantage in the battle. always got to be careful when A+ schools are involved, for that reason (whether you are in a battle, trying to calculate prestige/HV:CV based on a battle, anything really).