No, oversize tyres like a 4.00 x 18 rear (OE spec 110/80-18) and 3.50 x 19 front (OE spec 90/90-19).
The PO said that the OE tyres (which IIRC are Avon Roadriders) were swapped because the Dunlop K70s currently fitted "looked better" and "filled the space under the front mudguard better" than the OE fitment.
As the tyres fitted are higher profile than specified, the wheels don't clear the ground when on the centre stand - the bike is stable, but the wheels won't rotate.
Not sure how the speedo accuracy is affected, also not sure if the front rim is actually wide enough for a 3,50 section tyre (90/90 section imperial equivalent is normally shown as 3.25 wide, which can fit a narrower rim) without "pinching".
I can't say I was totally confident in the Roadriders fitted to the bike I test rode in damp / wet conditions, but neither Continental (my usual first choice) or Metzeler seem to offer the actual sizes specified - either the width is wider (100 rather than 90) or the aspect ratio higher (90 rather than 80) or both & neither show a recommendation for the Classic 500 EFI.
Neither German maker shows the actual diameter of their tyres, unlike Avon, so difficult to compare their offerings for diameter differences. Not looked at other options (Heidenhau or Mitas, maybe ?) yet. I would prefer a more traditional ribbed front / block rear configuration, but there don't appear to options for that style in the metric fitments.