(This is almost a universal truth. You can quit your job, and come back as a consultant and the same management will fall all over itself doing what you recommend. You just have to give them long enough to forget you recommended the same damn thing as an employee).
It's not always necessary to wait that long.
"Advice is worth what you pay for it", appears to be the rule.
I worked at a Fortune 50 outfit, working on choosing a vendor for a major contract. Since the contract would eventually be worth at least seven figures, we spent about 18 months doing competitive analysis and proper due diligence. Ten vendors (A-J) were whittled down to five (A-E), and then finally to two vendors (A and B), who each ended up running their systems on site in the final execution round.
Vendor A wasn't popular politically, but won on technical merit. Vendor B was a serious player, and had previously held 80% of the market in that segment, but (a) had fallen behind technically, and (b) their presentation had truly been Keystone Kops level bad, unfortunately. They simply didn't take it seriously; they expected to win on name recognition, so they basically just phoned it in.
Ultimately, my customer selected Vendor A. I had to write a competitive analysis for my boss to justify my rankings, and I wrote about 20 pages, detailing the scoring criteria I used, my observations and analysis, etc. Some of the vendors were extremely interested in this (vendor C, in particular, since they just missed the final round by a whisker), and my customer approved my giving each vendor a subset of my report. They'd each get the criteria used and the evaluation of their bid, but not of the other vendors. I added a recommendation section to each, of the "this is what you'd have to do in order to win the bid" variety.
Vendor B basically told me/my customer what we could do with this analysis, since "they were the vendor of record for 80% of the industry", and we didn't know what we were talking about, etc. Vendor C, in contrast, flew up two guys (one business guy, one tech) to take me out to lunch/dinner and get a Vulcan Mind Meld with me; their approach was "we came in number three, what do we need to improve to be number one".
A year later, Vendor B was sitting at 20% of the market, and unlikely to hang on to that, as both Vendor A and Vendor C had passed them. And so, they brought in a consultancy firm to do a competitive analysis. Said competitive analysis cost low six figures to produce, took a team to generate, and the report was passed around at their board meeting, before being sent down from on high to the troops.
A friend of mine was at Vendor B at the time. He compared my (free) analysis with the multi hundred thousand dollar report. The difference? Mine lacked "a leather binder, buzzwords, and spelling mistakes". The most important section, the recommendations, were now commandments from on high.