I would say that my main concern would be that the house looks as if has been extended and re-extended multiple times, and in some cases remodelled.
That type of renovation is likely to be much trickier, and have more surprises, than an older / apparently worse condition property that hasn't been knocked about as much / had strange holes put through walls / had lean tos first added then converted into rooms / had the central heating, electrics and plumbing added to piecemeal over the years.
We have renovated 3 houses since we got married.
First was a Victorian terrace with a modern sitting room added - the latter was where all the problems lay. Second was a really old core with lots of bits and bobs tacked onto it over the centuries ... that was a nightmare with all kinds of unwelcome surprises of the type i mentioned. Third - current house - was a late 1920s house, huge, dilapidated and substantially untouched since being built (except for a bathroom from each of the worst possible bathroom periods - 1950s and 1970s). Current house was by far the easiest to renovate - yes, it needed re-wiring and new plumbing and new windows (and after 10 years, a new roof) but everything was really straightforward. Take out the old, put in the new. Yes, we did our own extending (sculleries being somewhat outmoded, and the kitchen having been built for a cook / housekeeper, not the owner) , but we could have confidence that the strictural walls were exactly where they should be, and nobody had touched them before.
I would be REALLY wary of a multiply extended house, and would want a very detailed survey, particularly of all points where old and new meet.