I suspect it's rather more likely to be Free.
Rock cover bands often play the same tunes because that's what punters want to hear. Most of them don't know the difference between one local covers band and the next (unless they've been on the go long enough to attract a following). And it quickly becomes apparent that punters will dance (and buy beer) to songs they know already.
It's also the case that when you're getting a set together you often need a few more tunes to fill it out - which is where the Wishing Well, All Right Now, Proud Mary, Fool For Your Loving and Rocking In The Free World come in. Most people know how to play most of these songs, so they can come together pretty quickly.
My own band tries to avoid the most obvious songs, but you do have to get people buying beer and enjoying themselves. Or vice versa. We do chuck in things like Wildhearts, Icicle Works and Screaming Jets songs to keep ourselves (and the odd punter who can't believe you're playing something by his favourite band) entertained.