I just changed to a different host that specializes in WordPress, namely WP-Engine. And they said that they would most likely 'ban' the WP Tables and TablePress plugins soon as, if I understood them correctly, "it writes to the database directly" - not sure if i am paraphrasing them correctly. But they have security concerns that is most likely going to prompt them to take that step.
I have been very pleased with the plugin, and use it to drive a major portion of my site. I know that WP-Engine offers to first work with the plug-in developer to sort the issue, before they ban it.
I have to make a decision of whether to go ahead with the plugin on the new host or not. Could you offer some guidance. First, is it correct that it writes directly, or accesses, the database correctly? Two, does their interpretation make sense, and if not, and (this maybe too much to ask), could you reach out to them to rectify their understanding (their website is wwww.wpengine.com). And three, if none of these will work, can you think of an alternative plugin that has functionality similar to yours.