The answer is an unequivocal feck no. Ole Gunnar Solskjaer is a serial loser and out of his depth to paraphrase a Scottish pundit.
I'll start by saying that it's bizarre for fans to demand world class defenders, midfielders and attackers but somehow be content with a mediocre Norwegian coach whose main qualification for the job is being a former player.
Myth: Give him time, even SAF and Klopp took a while to get it right.
Reality: Both SAF and Klopp had winning CV's and pedigree in spades. Ole has none of the pedigree required to manage the biggest club in the land.
Fergie won three league titles in Scotland with a team not named Celtic or Rangers, won a European cup winners cup against Real Madrid and a European supercup. Yes he didn't win right away at United, but he earned himself time. Klopp broke the Bayern hegemony in Germany, won 2 Bundesliga's on the bounce and a Pokal, drove his team to the CL final with some heavy metal football.
What does Ole stand for? What are the patterns of play he's iinstilling in the team. Expecting Ole to get it right at the highest level it's like expecting McFred to become Xaviesta if you give them time: it ain't going to happen.
Myth: All this chopping and changing is bad for the club
Reality: Not necessarily. Big clubs chop and change all the time. Chelsea has gone to 3 CL finals, and every single time it's been with a manager that did not start the season (Grant, Di Matteo, Tuchel). Bayern Munich won last year after geting rid of a mediocre Kovac. They changed coach again (in fact 7 or 8 clubs are starting with new managers in Germany and 6 or 7 in Italy) and I suspect they'll be super competitive again.
We've been sold this massive industrial scale overhaul that OGS is undertaking to turn around Manchester United, and on a longer timeframe than the Chinese take to build a megacity for million of inhabitants. I know English people are married to tradition and move slow, but it's a football club ffs, don't overcomplicate it. Get the right coach and the right players and 9 times out of 10 it will work jus fine. Sometimes you don't even need 5 years for it to happen.
Myth: We're definitely moving forward, there is clear progress.
Progress from what? We've gotten 66 points, 66 points and 74 points with Ole in charge. 74 points wouldn't get you a top 4 in a season when all the big 6 are having a good season.
2nd place is not progress when Liverpool, Arsenal, Spurs and Chelsea had an off year. Tuchel came in when they were 9th and they made top 4 and won the CL... that's progress. I expect United to fight for Top 4 next season, not titles unfortunaely. Which suits Glazers fine btw.
Myth: But the transfer spending at least has been good. AWB, Maguire, Van de Beek, Amad, Telles, Dan James, Fernandes have all been great.
Reality: It's a mixed bag. Ole didn't trust the bench against a second rate Spanish team in a European final. Between Amad, Dan James, Telles, Van de Beek he didn't have it in him to bring them before the 116th minue when the starting 11 were running on fumes. Individually Maguire and AWB are good players, but is our defense fixed? I would not think so. Why spunk on Van Der Beek when the priority is a CDM?
It's not all doom and gloom obviously. He's a good influence on the dressing room, he stabilized the club, he stands for United values of youth, he's overssen the emergence of Greenwood, the resurgence of Shaw, the transfer of Bruno Fernandes and Cavani. He's a United legend, and I'd rather win with him rather than another coach. But I'd rather win first. With Ole, I'm not sure we will. So I wouldn't extend, pure and simple.