The weird thing about electronics is that there can't really be a "accurate" color to tune towards on a fundemental level, because each piece of hardware is just dimming arrays of light to minimum and maximum and their effects on eyes are always some ammount of different. It's like the way print software is guessing how CMYK will look, in different lighting, and different stipplings. Any software that creates visuals (including camera software and scanners) are similarly guessing how stuff will hit eyes after all the layers of translation. Phones and portable devices demonstrate a big big bias toward making websites legible in the sun & glare, so they do alot more software-side correction & forced contrast than the average os or graphics card does for an indoor screen. But then some screens can't ever created black, or white, and the cards and OSs detecting this push a certain ammount of contrast too trying to simulate normalcy. Also, now that graphics cards are standard in even the tiniest PCs & TVs there's nothing much left that does ZERO tinkerring with graphics before they hit monitors. Your best bet is to just draw for & on which screen you'd prefer to be seen on. Anything wide is typically NOT gonna be displayed very wide on portable screens unless your audience flips the thing obsessively, but anything tall is gonna feel claustrophobically letterboxed in a browser window also. So if you like detail and could care less about online metrics, it's better to balance everything's colors either for monitors or printing. If you want to make something splashy and scrollable, it's best to never to use subtle colors, and keep it tall & punchy. And then if you post on social media sites that dabble in auto thumbnails, just give up on the edges of your canvas being useful and have everything float in a massive buffer for the tech bros to eat away with updates.

I have notice color and saturation differences between my two monitors. This is common.
Someone else went on a long bit about calibration - so not gunna talk about that.
Just easy rule of thumb: as long as the monitor you're working with isn't completely out of whack, if it looks fine when you're working on it, it's probably fine. If you have concerns, look at it on a different monitor and adjust accordingly.