What I own are both rubber tired backhoes--a 580 and a 680. When my Dad and I went into business that was a good compromise, because you got both the hoe and the loader in one machine.
If I were going to make the same sort of investment today, (and one of these days I'm no longer going to be able to avoid it), I'd seriously consider a mini and a skid loader. There's just so much you can do with an excavator that's so much easier than doing it with a backhoe. And if you have a skidder to use then you don't really need the loader end of the rubber tired hoe.
The primary places you're likely to find yourself at a disadvantage are in situations like needing to get ten or fifteen feet deep with the hoe, or loading a lot of dirt into bigger trucks, like tandems. To be practical about it, you can't do that with small machines, but even in those situations, the rubber tired backhoe is not the best choice.
Any decision you make is likely to be a compromise of some sort, and as I said, the good ol backhoe was once the best available compromise, but these days the evolution of the machinery has made better compromises available.