First off you need to less apologetic and tentative. If your social approach is anything like your OP post most (not all) women, despite whatever anyone may tell you, are not going to be enthralled by shy, tentative men apologizing for themselves.
You need to have the inherent feeling that you are bringing something substantive, valuable and important to to the table in the relationship be it a casual date or a longer term scenario. If you do not have this in some form of fashion you’re usually kind of wasting your time trying to date unless you’re looking for a therapist instead of an SO. Women are usually looking for men who are somewhat confident (not overbearingly so) and who are open to life and maybe a little interesting. If there’s even a whiff of cringing, at least in the meet and greet stage, you’ll get ignored or passed over.
As a practical matter, while others may have different experiences, as a 51 year old man I found wandering the local venues (bar, book store, parties etc) hoping for a casual introduction or meeting was (for me) a huge waste of time. Internet dating was the way to go, and eliminated enormous amounts of wasted time. Being social buddies with women is great way to be social buddies with women. It’s not an intro to dating success.
Re your characterization that you are absolutely not in any way, shape or form “impolite, egoistical, domineering or inconsiderate” is sweet, but it’s also the primary reason you get no action. Putting aside the “impolite and inconsiderate” which are bad social manners no one likes, real world you need to have some slight, reasonably moderated ego and dominance vibe in your attitude and personality for most women to be sexually interested in you. It can come across as “knows what he wants” or “self confidence” or whatever, but without it you’re going to be failing more often than not.
Beyond this, there’s a level of reciprocal interest dynamic involved. For women to be seriously willing to be with you beyond the first few dates they have to be willing to fuck you (conceptually at least), and this is a decision a woman makes within the first few seconds or minutes of your introduction. Assuming, per your OP, you are not a physical troll a lot of this female decision making is going to be keyed to how you come across and carry yourself. Thinking you have a full date or multiple date(s) worth of time to make a good impression is a fallacy. You will usually know within minutes of meeting (on a date) if there is a possibly for relationship success or not. If not, be polite, pay the bill, and move on. It’s a numbers game and there is no use wasting multiple dates if you don’t have spark. Pounding on closed doors is humiliating and stupid.
If you are seriously interested in dating, don’t waste huge swaths of time trying to be buddies in the hopes you can sidle your way into a date. It’s pointless. Don’t pursue women who are not eager to re-connect after the first date. If the fish don’t like your bait move to a different spot in the lake. If a woman is not willing to be physically intimate within 3-4 dates you’re usually wasting your time re any long term success in that relationship.
You need to take a strategic view of dating and be brutally honest with yourself about your objectives. If you are getting almost no play at all you need to change your attitude, or possibly even change the type of women you are pursuing. If the only women you are interested in are way out of your league attractiveness-wise or maintenance-wise re your expected material success you’re being a fool. If you are bringing yourself to market you have to identify the likely buyers.
Doesn’t seem to have held him back any!