Take it from an old guy
A few decades ago, nearly anyone who started hunting began with either a 303 or a 30-30.
With these two rifles you would hunt Deer, Moose, Bear... whatever.
However we didn't commonly have 4 wheel drive either, or gortex, or gps, or camo for that matter!
Point is we have progressed.
If you want a 303 because it's a cool old gun...GREAT! buy it, it will kill.
But, you can't buy premium bullets for it, and as hunting improvements go that is a huge one!
You owe the animal the cleanest kill you can deliver, pay the extra $200 (you'd spend more than that in gas in one hunting season anyway) and get something that was not designed in the 1800s... then later when you want a second firearm buy a 303 cause they're kind of cool!
Just my opinion.