yeah, the filler cap is in the centre which puts it right where the cross bracing is and it has a monza style flip open cap. Maybe that's not original. It looks pretty tall anyway.

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68 Morris Cooper S Mk1 (*ex 78 1275 LS 4th last built, 70 Morris 1500 OHC & 70 MiniMatic)

Sounds like a Metro cover.
There are some rockers that don't fit in that particular one.
Try it and see.
If they hit on the back, a trick I have used with fitting Corolla rockers is to slot the 2 stud holes in the top forwards about 1.5mm. Then push the cover back. Works fine, on the alloy covers I had (not same as yours).

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DrMini- 1970 wasaMatic 1360, Mk1S crank, 86.6HP (ATW) =~125 @ crank, 45 Dellorto (38 chokes), RE282 sprint cam, 1.5 rockers, 11.0:1 C/R.

You may have misunderstood, I already have the alloy one fitted and it seems OK over the rockers. I wanted to know if an original tin rocker cover (which I prefer the look of) would fit over these rockers instead.

The alloy one is pictured below. One problem I do have with the alloy one is that the oil cap contacts the bonnet underside inner panelling. Both are marked from years of rubbing.

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68 Morris Cooper S Mk1 (*ex 78 1275 LS 4th last built, 70 Morris 1500 OHC & 70 MiniMatic)

Yes they will fit OK in a standard Mini rocker cover.

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DrMini- 1970 wasaMatic 1360, Mk1S crank, 86.6HP (ATW) =~125 @ crank, 45 Dellorto (38 chokes), RE282 sprint cam, 1.5 rockers, 11.0:1 C/R.