Ok then, if you're unwilling to be just ever so slighlty more flexible with idioms and general examples of the flexibility of loose in English, and a brief overview of the etymology of the evolution of 'loose'...
...let me be more direct and precise:
...
Loose is a verb, in addition to being an adjective.
Loosing is when that verb is formulated into the present tense.
Loosing as a verb has multiple meanings, including:
- Expelling something away from you physically.
The archer is loosing an arrow.
- Letting something escape from you, or move away from you, either temporarily or permanently.
Tom is loosing his dog.
- Unleashing something from within you, outward, often speech or emotions, but it could be something physically tangible.
Shush! Anna is loosing her real feelings on John right now.
- Allowing something to affect the world in a broader sense, scope, or scale.
ChatGPT is loosing upon the world a dark age of widespread illiteracy.
- Making a connection, a binding, a tether, etc, constrain something in a less restrictive manner.
By loosing the knot around the cleat, I am loosing the boat from the dock, but only slightly.
...
I really don't see how it is really that much of a stretch to take some of these uses of 'loosing' as a verb, and see that either one, or multiple simultaneous of these definitions, and interpret the phrase 'loosing my social connections' into something that essentially means... 'letting them slip away'.
I do not really think it is thus 'grammatically incorrect'.
I will give you that usage of loose or loosing as a verb is nowadays fairly uncommon, to the point of possibly being considered archaic...
But then if that is the case, as it is with many words and phrases from 100+ years ago or w/e...
...well then you'd be doing a bit of extra interpretive work anyway, not really that distinct from just being a bit more idiomatically flexible with the range of current meanings of 'loose/loosing.'
...
Perhaps I am simply older than you, and/or have read more older books, watched older visual/audio media where 'loose' is more commonly used as a verb.