Playing for a draw is a crap idea. He'd be slated everywhere if they'd done that and they conceded from a set piece.
I'm not a Liverpool fan, I don't have encyclopedic knowledge of their results this season. Obviously they've won more games than those two in the second half.
Playing for a draw is never a good idea, especially when you're a side who can't defend very well.
There's a middle-ground between playing for a draw and leaving yourself stupidly open to counter-attacks. Liverpool know that they're shite defensively, but part of that is because they play so openly. You've mentioned a plethora of other managers that have tried to play against the tactics that Mourinho utilised on the weekend, but it's almost a certainty that they didn't play a very open 4-3-3. When you try and play openly against a team that's just going to squeeze all of the space and leave you dicking about on the edge of their box, you're just opening yourselves up even more to counters. Rodgers may have been slaughtered had he set them out defensively and Chelsea had still won, but he's being slaughtered now, and it certainly would have been the more sensible approach.
Liverpool have been a first half team all year, with their tactics amounting to nothing more than shock and awe. When that hasn’t worked, they’ve looked clueless more often than not. Of 25 league wins, Liverpool have been ahead at half-time in 21, and level in the other 4, and they were against Stoke, Fulham, Cardiff and West Ham, which is hardly the most impressive opposition. They’ve drawn 5, throwing away half-time leads of one goal on 3 occasions, went in level on 1, and came from behind against Villa on 1. Out of their 6 losses, they’ve been behind at half time on 4 occasions, and level on 2. The draw against Villa is the only point out of a possible 15 that Liverpool have salvaged after going in behind at half time, despite never being more than a goal behind. They’ve failed to score in only 3 first halves (ultimately losing all 3 games), but have failed to score in 13 second halves. Out of the 12 games that they haven’t been in front at half time, they’ve lost half, drawn just 2, and won only 4. They’ve scored 58 in the first half, compared to 38 in the second, conceding roughly the same amount in each at 20 and 26 respectively.
Rodgers has relied all season on early goals, and half-time leads, and when he’s not had that, he and his team have been clueless. Everyone knew Mourinho was going to stifle that approach, but he still tried to play it, meaning his lack of Plan B would be shown up, ultimately leading to Liverpool potentially throwing away the league. He’s tactically naïve because he’s only got one tactic, and even when everyone who pays the slightest bit of attention to football knew it wasn’t going to work, he still played it.