I’ve been advised to tailor my resume by changing my job title to
match the roles I’m applying for...
Titles mean nothing. I worked for one company where most of the employees had the title "Member of the Technical Staff", or "Senior Member of the Technical Staff". Titles are company or even project dependent. They don't translate into what other companies call them unless the title is defined either by law of industry standard.
If you change the title you may run into the issue that If they check your background the old company might respond with your actual tile, which you might have to explain.
... and adjust the content to fit the job descriptions. The issue is
that if I do that, my resume won’t be entirely truthful since I don’t
have the exact skills these jobs require.
This sounds like an awful idea. As described it sounds like your description of what you accomplished, produced, or were responsible for would be fiction.
When you can't actually do those things you risk being caught. It could be in the interview, or the background check, or in the first few days on the job.
Plus, if a recruiter checks my LinkedIn profile, they’ll see that my
title was an architect, not an analyst or engineer, which could raise
questions
That makes it even more complicated because how would you make sure that recruiters for position X see a different work history than the recruiters for position Y.
So what can you do?
The things you highlight in the resume, and the things you mention in the cover letter can vary for each job application.
If company X mentions in the job description Windows, and you did both Windows and Linux, make sure you mention Windows in the resume. Don't expect them to guess.
If they want somebody with some hardware experience, and you did that during the first 6 months while waiting to be assigned to a project, then mention it.
Don't lie, just highlight different aspects of your actual experience.
Imagine this. If they only allowed you three bullet points regarding why they should hire you based on your experience; the three you pick can vary for each application.