I take it that you're talking about a fibre glass version (as you mention not having to pay for panels and welding etc.)
Firstly I've rarely seen a decent fitting steel flip front, let alone a fibre glass one, and whilst you may not have a show car, you probably don't actually want it to look like a tatty mess either. As above, there's the safety aspect to consider as well. The classic mini has minimal front end crash protection as it is, so removing the welded front end steel panels and replacing them with fibre glass really isn't all that sensible. What's more, insurance companies don't tend to like flip fronts for exactly that reason, so expect a hike in your annual premium if you fit one too. Then there's the effect it will have on resale value as flip front inevitably devalue cars.
If it's a track car and you need constant access to the engine, or if you're fitting an engine conversion that requires the inner wings to be removed, then I can see how a flip front might be necessary, but it's not really something you want to do just because it's a cheap option. Ultimately, if you're going to own a classic mini in the long term, then you have to accept that it's going to need welding and panels replacing at some point. You'd probably therefore be better to think about buying yourself a welder and learning how to weld, (as many of us here have done) instead. After all, you wont be able to replace with fibre glass when you need new sills, floor pans, or a boot floor etc.