First off welcome to this site !
Both these makers that you mention are known at bow touraments .
If you want to get money for shooting then by all means chose Mathrews as they got the best shooters that money can buy , but Hoyt doesn't do bad and they seemed to have been producing quality bows over the years and still are , but so have Martins , Bears , PSE and Dartons with the last four companies not having the great number of shooters !
I'd shoot a Mathrews bow as I own one myself , but I like Hoyt products better and would consider another brands .
Hope I didn't confuse you too much !