Mauricio Pochettino is like everyone else. Remember that during his time at Tottenham Hotspur, the team never won a trophy and perpetually finished in second place despite the players' intense determination. Every single time Chelsea suffers a defeat in the Premier League, they continue with this trend. One of the worst managers in football, Frank Lampard led Chelsea through five games and suffered five losses with nine goals conceded and just one goal scored. It's shocking to see a prestigious club deteriorate into a young team who only started playing football yesterday.
I think you are way to hard on Pochettino to be honest. Yes it is true, that he has never won a trophy during his pretty long first stay at Tottenham but i also think that Tottenham is just not as strong as the other big clubs in the Premier League. So to say that he is not a good trainer just because he did not win a title with a team, is not really fair in my opinion. He even managed to reach the Champions League final with them in 2019 against clubs that definitely were stronger than them. So i think that Pochettino definitely is a great coach.
So i think he is definitely a viable candidate, now that Nagelsmann seem to already have declined the offer of Tottenham.
I also wondered why he was so hard and dishonest about Pochettino. You cannot just degrade Pochettino to the level of nobody. You can say all those to a coach like Lampard, Gerrald etc and not to Pochettino.
The reason why Tottenham has not lifted a trophy is not because of coaches but also the approach of the management.
We cannot honestly say that Mourinho is a bad coach, but when Mourinho took them to a final they sacked him. Under Pochettino, Totenham was strong and they made their best attempts in the Champions League during the period in review.