The meter/electricity supplier may choose to fit an isolator, but they are not obliged to. The breakdown of responsibility goes like this:
1. The cable coming into the main fuse, and the main fuse head itself, belongs to the DNO, so only they have the authority to do any work on it (and that includes pulling the fuse).
2. The tails from the main fuse to the meter, and the meter itself, belong to your chosen electricity supplier. Ownership of those parts changes if you change supplier but may not be reflected by changes to brand stickers etc on the meter.
3. The tails from the meter to your consumer unit, isolator switch etc and everything downstream from the meter belong to the householder/landlord.
Isolator switches are fitted in the tails from the meter and so belong to the householder usually, even if supplied and fitted as a courtesy by an electricity supplier. Any competent person can install an isolator switch, but it does require the main fuse to be pulled in some cases, unless the meter is one of the few that includes a built in isolator (in which case it's questionable as to whether it's worth fitting a second one). The law (and it is law) states that the only person, other than in an emergency, that can cut the seals and remove the main fuse (in order to safely isolate the supply to either change the meter or install an isolator switch) is the DNO, or someone directly authorised by the DNO to act on their behalf.
The meter monkeys employed by suppliers have DNO authorisation to pull main fuses, electricians or any other competent person not employed by the DNO or supplier do not. Anyone that pulls a fuse without DNO authorisation is in breach of the law, specifically the ESQC Regulations. Having said that, I have yet to meet an electrician that has not pulled a main fuse, more often than not because it's just too much faff to call out the DNO to do it for something like a CU change. That does not make it legal though, and there are significant risks involved, which is why the specified procedure for doing this includes wearing an arc flash safety helmet and visor and long insulated gloves that also provide arc flash protection.
I will own up to having recently installed an isolator switch and pulling the main fuse to do so, but I did ring the DNO before hand and they were OK to authorise me to do so. I'm a competent person and have the required PPE, so it was not an issue, and I strongly suspect that any other competent person would get the same response from a DNO. It doesn't save them coming out, though, as electricians are not normally authorised to replace seals, not are they issued with the serial number encoded crimping tool, that identifies who fitted the seal. The work around for this is for the home owner to call the DNO and report that they have discovered that the seal is missing from the fuse. Nine times out of ten the DNO will send someone around within a few weeks to fit a seal and makes things legal again. Worth doing, as it avoids the missing seal being reported at a future date as possible evidence of electricity supply tampering.