Not sure why Bodyline is touted as an example. Bodyline tour was not how bowlers bowled generally. It created a furore as it was an anomaly.
The OP was suggesting that the level of cricket during Bradman's days was club-level in today's standards. From the brief video, Larwood's bowling looked genuinely quick and every bit Test class even in today's standards. Obviously Bodyline wasn't the norm, but Bradman's average of 56 in that series (with Larwood bowling like that) was super impressive. If anything, it was further affirmation that he was something special. Even if you look at the stats of modern batting greats, their averages generally take a big dent when they come across tough batting conditions, more so for stroke playing batsmen like Lara, Tendulkar, Chappell etc. I call it the "impacted" average. It is difficult to always statistically quantify tough batting conditions. For England, it could be facing Warne on a turner. For India it could be batting on a bouncy wicket or facing a genuinely great fast bowler etc. For example, during McGrath's playing days, Aus attack with McGrath would have been tougher than an Aus attack without McGrath (again during McGrath's active days). I am just choosing this as one example, because it is easy to statistically represent this (since McGrath did miss multiple series during his 13 year career).
McGrath against India makes an ideal example because 1. his career peaks overlapped significantly with quite a few great batsmen from India and 2. during his active days McGrath missed multiple Test series against India, but he also played in multiple Test series against them, and 3. the other ATG bowler in his team, Warne was a non-factor against India, and 4. the nature of the pitches when India played Aus with and without McGrath was pretty consistent (McGrath never bowled to India on genuinely fast bowler friendly pitches like Perth or Brisbane). So just taking how Indian batsmen fared against Aus during McGrath's playing days, you can get an idea of the impact just McGrath's presence had on the Indian batsmen.
During McGrath's Test career days, Tendulkar averaged 92 against Aus when McGrath was absent, and 37 when McGrath was present. Pretty similar with Dravid as well (84 when McGrath was absent, 31 when McGrath was present). The dent in Laxman's stats is lesser but the impact is still there (66 without McGrath, 44 with McGrath). Again, the stats here were taken just during McGrath's active days.
The differences in the career averages and McGrath-impacted averages of the Indian batsmen is pretty significant and clear.
If Bradman's bodyline-impacted average was as high as 56, then to me it stands to good reason that his normal average being much higher is not an accident. The guy's career was just a freak.