First, regarding crossed-monovision, a 2020 open access article in BMC Ophthalmology, “Crossed versus conventional pseudophakic monovision for high myopic eyes: a prospective, randomized pilot study”, found: “The conventional monovision and the crossed monovision group showed no significant differences of mean BUDVA, BUNVA, BCDVA, BCNVA 2 weeks, 1 month or 3 months postoperatively (P > 0.05). There was no difference in the bilateral contrast sensitivity or stereoscopic function between the convention conventional and crossed monovision groups (P > 0.05). Patient satisfaction with near and distant vision, as well as spectacle dependence did not differ significantly between the two groups (P > 0.05).” While you don’t have high myopia, the authors’ stated reason for studying this population had to do with (what they say are) factors that “may limit the use of multifocal intraocular lenses in cataract patients with high myopia.”
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Second, because even if you like monovision it may not achieve the visual acuities you want, you’re right to base your decision on the priorities you give to the distance, intermediate, and near visual zones. My priorities are intermediate and near, so with my surgeon’s encouragement we targeted my first, nondominant eye at c. -2.00 D and my second, dominant eye (done two days ago) at c. -1.00, both with Eyhance IOLs. As of now I’ve been very fortunate: my 'distance" eye tested at 20/25 while also improving on my already good intermediate vision from my ‘near’ eye. With my ‘near’ eye, I’m able comfortably to read my Pixel 7 Pro smartphone held at my normal distance of 12.5"-13". Holding a book as I normally would just above my lap, I can easily read 10 point Lyon Text. As for my 27" Asus ProArt PA27QV monitor, 2560 x 1440 at 60 Hz., text is clear and comfortably readable at 32", where I had the monitor before the surgeries. For example, in Microsoft Word all the menu titles are clear and legible; I can make out four point Century Schoolbook text, easily read five point CS text, and read comfortably nine point CS text. Also, all the names in Windows Explorer in “Details” mode are easily and comfortably readable.
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But if I didn’t get, or as my ‘distance’ eye settles don’t keep, comfortable driving vision, I’ve no problem wearing glasses to drive, and I’d prefer that to the alternative. Of course, if you prioritize distance then you should plan accordingly.
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Third, if I understand you, your plan is to trial monovision with a contact lens after the surgery on your first eye. (I trialed mini-monovision both before my first surgery and during the weeks between it and my second surgery.) Even if you prioritize distance vision, I suggest asking yourself how good you want your distance vision to be. For target shooting and eye-hand coordination sports you probably want better than 20/20. For most other distance-oriented activities, including driving, 20/25 (or even 20/30) may be good enough. While I think myself fortunate to have at least initially 20/25 vision with a c. -1.00 target, I think that’s a very reasonable expectation with a -0.50 or even -0.75 D target. (At her six-month check-up yesteray, my wife, with Eyhance IOLs both targeted at -0.50 D had 20/20 vision.)
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If you follow this suggested approach and your first eye at least initially gives you distance vision with which you’re happy, then you could trial mini-monovision with a contact lens in your unoperated eye that’s under-corrected to at least give you very good intermediate vision and possibly also good near. (I think the Eyhance a good candidate for this approach.) If your first eye remains stable during the trial and you like mini-monovision, then you can ask your surgeon to replicate it in targeting your second eye. But if you don’t like it or if vision with your first eye deteriorates during the trial so that your distance vision no longer makes you happy, you can target your second eye for either the same as your first eye or for micro-monovision, that is, a very, very slightly less myopic target then target/result in your first eye.