I take it that LSALT = Lowest Sector (or Safe?) Altitude? If that's the case in the UK this is referred to as MSA = Minimum Sector Altitude.
With regard to Class E (which we have outside 10d around EDI), I'm not sure that I understand your question either. Here, Class E counts as controlled airspace for IFR traffic; we vector IFR traffic through it in the same way as any other classification of controlled airspace. Even Class F or G don't really make a difference to the approach for us - we simply vector under RAS.
However, in the UK you DO need an approach rating to clear someone for any type of approach.