And that was a bad thing, that the BBC was successfully sued over. It's good that that hasn't bee repeated here.
Exactly. Investigating authorities are not allowed to divulge the names of people who are under investigation (but who have not yet been charged with any criminal offence), unless there are justifiable reasons to do so (eg the person has absconded, or the authorities need the assistance of other individuals in their investigation).
Cases like those of Cliff Richard and Christopher Jefferies (the man who was initially arrested in the Joanna Yates murder enquiry, but who actually had nothing whatsoever to do with her murder) are striking examples as to a) why this rule ought to be obvious and just, and b) the low-level corruptibility of individuals and collectives within the police who were seeking publicity and kudos at best (and financial gain at worst) by leaking names to the media during the pre-charge investigation phase. The public, by rights, should never have known that Cliff Richard or Christopher Jefferies was ever under investigation - I'm imagining that even the most stupid or law-and-order-nutter members of our little community can see how the reputations of these two people were unjustly damaged (probably for ever) as a result.
And, as you might be alluding to in your post, it's almost certainly as a direct result of the backlash against the police in the above-mentioned cases - most probably coupled in this particular instance with very assertive (and, in this matter, fully correct) legal representation of the individual concerned - that his name has not found its way into the media. Which is exactly as it should be, unless and until he is charges with one or more criminal offences.
(Oh, and this may indeed also be a reason why the Conservative Party has not suspended or removed the whip from this man for the time being. IIRC, any MP who undergoes such a sanction has that fact officially recorded in parliamentary records. Therefore, it would be ludicrously easy for any media lobby journalist to check to see which MP(s) has/have had these sanctions applied over the past few months or so (and it's a very rare occurrence to start with, added to the fact that in almost all instances the reason for the suspension or withdrawal of the whip is already well-known at the time). There would therefore likely be only one name of a male Conservative MP who'd been sanctioned in this way, but for an as-yet unspecified reason. And that would have to be the correct name in respect of this criminal investigation.)