Well looks like there was some interest, below is what I sent to my local MP this morning. I've put in <italics> parts that you'll need to update if you want to use this as a template but feel free to use it as inspiration if you want to change it a bit!
Dear <your local MP>,
I’m writing to you as a resident of <wherever you live>, currently going through the process of applying for my permanent residency to remain in Canada. On <Date of AOR>, I submitted my application for permanent residency to Immigration, Refugees and Citizenship Canada (IRCC). After spending a significant amount of time and money liaising with multiple organizations in Canada and <home country>, gathering documents and preparing my application, I have been left waiting for <number of months left waiting> months with no conclusion reached as of yet. For reference as to the normal processing time for these applications, the representation given by IRCC is that 80% of permanent residency applications are processed within 6 months of application receipt.
I understand that COVID-19 has directly delayed the processing timeline of my application and I sympathize with entities and people alike that have seen great difficulties as a result of this pandemic. If it were for this reason alone I would not be writing to you. My frustration arises as a result of me and a multitude of others that applied around a similar time waiting with no conclusion reached on our applications, whilst many of those who applied 5, 6 or 7 months after have had their applications completed in the time since.
Without knowing definitively, I and many others from communities devoted to help and support people completing their applications, suspect that the reason for this is so IRCC is able to maintain their previously mentioned representation. I do not believe this is an equitable or fair reason to indirectly force those waiting for much longer than usual, myself included, to live in uncertainty and without the ability to make significant life choices that affect not only us, but our partners and families too. I understand that some applications do require further checks and balances however the sheer numbers seen lead me and others within this aforementioned community to believe that this delay is not as a result of our applications being more complicated to process, but instead as a result of IRCC wishing to maintain certain KPIs and representations.
I am not writing to you in the hope that somehow my application will be completed sooner, but instead to communicate my vexation caused by the inherent inequity of this inconsistent and unfair processing. I’m not sure if anything can be done about this but I do wish to voice my concerns as currently I and many others feel hopeless, helpless and neglected as a direct result of the wait we’ve been forced to endure.
Yours sincerely,
<Your name>