It matters 100% that there is someone waiting to replace a person, when he is sacked.
You can't sack someone and then be manager-less.
As an example, before LVG was let go, Jose was already in talks with MUFC, so within 3 days of LVG's departure, Jose was brought in.
With regards to having a suitable CV: when you employ someone, the very first thing you look at is their past experience...ie. their CV. This is normal for any job. I have done hiring in the past and I would never hire someone for a role, who didn't already have some experience in being successful in a similar role. Placing someone without an appropriate CV, into a role, is reckless. I realise that this may be completely alien to you, but this is normal practise in recruitment. If you think I am making this up, try applying for the role of Chief Executive of a large company. Assuming that you have no prior experience in a similar role, I can almost guarantee that you will not be shortlisted for interview.
It is possible to hire someone with little/no experience in a similar role, but the chances of failure are high. Moyes was an excellent example. Our board expected a man who has never won anything to come to MUFC and win things. The board were inept when making this decision.
By hiring a person who is already performing a similar role, successfully, you increase the chances of that person being successful in his new job.
This could be feasible, but TBH I have never studied how his teams play. He does get results, but then so does Jose, who I would argue, gets better results (ie. more trophies).