Definitely be there.
If it's a full structural private survey they'll be lifting carpets and all sorts.
If it's a mortgage evaluation survey it won't be as intrusive or take anywhere near as long.
Sounds as though they are only trying it on to get you to reduce the price again. As suggested upthread, just say no, you've already dropped the price, no more reductions are forthcoming.
Also some surveys can read as though the place is falling down, but if you eliminate any of the text that says 'could be or may be, or possibly, because it doesn't mean anything's definitely been found, just that there's a slight possibility of it and the surveyor's covering himself by mentioning it in case the buyers find it in the future.
Any surveyor that doesn't have a RICS or ARICS of FRICS qualification after his name isn't very highly qualified, I'd not drop the price on a survey done by an unqualified surveyor.
If it's a survey done by a builder or a renovation company specialising in things like damp, re-roofing, double glazing and such and they suddenly "discover" your property needs their services at £KKK or it'll fall down tomorrow, ignore it.
e.g Survey says 'Damp meter readings of XXXX in external wall could possibly may indicate the presence of moisture'
Buyers say 'We want the price dropped by the cost of extensive whole house damp proof treatment.
Seller says 'There's no evidence of damp, no mould, no smell, the survey only says it's a vague possibility, so no price reduction. Proceed with the sale or drop out now, don't mess me about any more.
Daft things buyers have said to me to get a price reduction.
'The roof will be 100 years old soon so it needs replacing, I want you to drop the price by £fortune.
Answer, no, it isn't built to collapse on its 100th anniversary, go away, you're trying it on.
'The kitchen/bathroom needs updating'
Answer, everything in there functions perfectly well, just because you don't like the look of it, that's no reason for me to drop my price so I pay for the home improvement you want. I'm not prepared to do that.