Is diagnosis as an adult worth pursuing?

I think I am autistic, I have struggled my entire life with many aspects of life, and as I am sure many others on here have done, developed my coping techniques. A diagnosis will not change who I am or how I live my life. Or would it?

For most of my life I have suffered from alcoholism (late teens to early 40's) and it is only now that I am sober for a length of time that I have been able to question my behaviours and come to the conclusion that I may be autistic.

I have taken a few online test and I think the results speak for themselves. AQ50 score of 41, EQ score of 16, Aspie Neurodiverse score 120/200, Neurotypical 84/200 you are very likely Neurodiverse, RAADS-R 142.0.

I am just wondering if a formal diagnosis is worth pursuing? I think it would help me come to terms with how I often feel and provide me with a reason to give to others to explain how I am but the thought of going to my GP, asking for a referral, discussing personal feelings/behaviours and then having to go through it all again at an assessment horrifies me! And I do mean horrifies!!!!

I am currently on strong anti-depressants (citalopram 20mg & Mirtazapine 45mg) but question how much benefit I am getting from them. Whenever I tell my GP that I still feel depressed she just ups the dosage. So not sure how responsive she will be to me asking for a referral for autism.

I don't think self-diagnosis is good enough, I want to know for sure but the process seems off putting.

Have others that have been diagnosed as adults felt a formal diagnosis beneficial?

Thanks in advance for any replies