I agree there are many factors. But I have worked tirelessly over the last year to add links. Actual traffic to our site has increased by 100% in that time.
Interestingly Google Webmaster Tools gives me 7021 total links. MajesticSEO gives me 4898 and the deleted links are actually not deleted, but probably changed/moved. And the 211 links listed as deleted in MajesticSEO are all duplicates of one site. The one that is listed as a lost link (211 times) in MajesticSEO is actually live at: http://purchasingandsupplysourcingguide.com/Guide/SearchListing?searchTerm=supply+chain+services&PageSize=10&PageNo=1&IsBasicSearch=True§ionType=&categoryId=0&headingId=0&rbPhraseType=1&StateProvince=&CityOrZip=&Radius=100&video=false&exhibitor=false.
So that's not accurate either. So we haven't lost a single link. And I've added more than that since the last update. And if we're talking sample size it should not vary more than 5-10%.
And I run my report against the same competitors every month but theirs actually increased.
I guess I can't trust any of the tools to be accurate. But, with all the other data, I know MOZ is under reporting. And I am only comparing previous MOZ reports after multiple MOZ updates, so I know that isn't the problem. There's definitely something wrong with reporting 80% fewer links but nobody will give me a straight answer.