I don't think Ten Hag survives this season, I am somewhat in the don't want him to camp. But there are so many bad takes on here based on assumptions.
Ten Hag didn't say "I want Kane" or "I want de jong" he gave the club a player archetype for each role and Murtough said that these roles would be filled by the time Ten Hag got his foot in the door. This didn't happen, because the club having poor infrastructure had nobody who was in charge of saying we have identified x,y,z and we are going to bid for them. What happened was Murtough met with Ten Hag and said here are players x,y,z who do you recommend. Ten Hag did not demand control, he had a veto and was given his pick of targets.
We know that last Summer we needed a defender, a dm, a right winger, and a striker at the very least. We signed the defender Martinez and were offered Antony in that deal as a package. The Glazers would not sign off on the extra cost.
We then spent all summer targeting De Jong. We don't know if De Jong gave any private input to Ten Hag or Murtough but we know that Ten Hag needed a player of that profile. When that transfer was failing who did the club identify as player y,z as alternatives? We didn't, we overspent on Casemiro (he had a good season granted, but the signs were there of decline) and then overspent on Antony after being offered him a lot cheaper earlier in the window which led to no money in the winter and we had to sign Weghorst. Weghorsts arrival coincided in Rashford scoring a good amount of goals against weakened opposition and being praised as the second coming so we gave him an even bigger contract and he reverted to type.
With Casemiro and Eriksen in decline, and injury prone at left back, centre back and the wings, the club went for Mason Mount and Hojlund at premium prices. We have had our first team defence on the pitch for all of 5 games all season with a new goalkeeper and no first team left back for over half our games. We face another window needing a centre back, midfielder, left back, right winger and striker. And the reason is not because Ten Hag only wanted players he knew but because the club didn't offer him alternatives at the level required, plus mismanagement of funds and inappropriate prioritisation of squad roles. The rebuild by Murtough was not the level that any manager coming in would get success from, and its important wether Ten Hag stays or goes that we don't scapegoat him entirely for the mess we are now facing.