I did some quick montages were I included your colors scales with the data I used in my tutorial. It was made hastily but I think it could be interesting for comparison.
I rotate your tables by 180 degrees to go from high to low (left to right/ top to bottom)
The precipitation table was imported from Excel via a print screen (I know how awful it is
). The categories at the top and those of the left have only min/max with the max capped at 200 (because more rain over 200mm had little impact with Earthlike temperatures on the climates).
For the other categories, the bottom right is the minimum, the top right is the maximum and the other two are the average.
* I don't remember if the lowest category is supposed to 0-10 or 0-12,5, because I did this table a couple of weeks ago.
So normally, unless I'm missing something, the precipitation categories, once combine (summer and winter) should cover all the possible combinations of the Holdridge system. Except for the rainiest one, over 4000 were there would only be two categories instead of three. Meaning that the rain forest would be the same as wet forest. Like if there is a big difference.