If accuracy & precision are your objectives (as they should be to any fellow WIS :-!), Seikos and MIyotas are not the best choices. Or even second best. Neither are particularly precise timekeepers, nor were they designed to be. With a $600 budget, you can do much, much better.
1) The lowest grade Swiss ETA 2824 has roughly twice the precision as anything from the 7S/4R/6R family, regardless of model, beat rate, cost, etc.
2) Higher grade 2824s and more "premium" movements like the 2892 (that starts at elabore grade) are in a different performance category altogether. The "base" 2892 has a 10 second allowable variance in its daily rate (+/- 5). The 6r15 has a 40 second variance (-15/+25). That's like comparing a 100HP engine to a 400 HP engine.
3) The Sellita (SW200) and Chinese Sea-gull (ST2130) clones of the ETA are also more precise than the Seiko 6R's, though the QC with the Chinese movements is spotty at times, and the few Sellitas I've tested have not done as well as the ETAs.
4) The STP1-11, which can be had in watches costing as little as $300, has even tighter specs than the standard grade 2824, and is adjusted in FIVE positions, vs. two for the standard grade ETA and none for the Seikos
5) If you really want to be thrifty, the Swatch sistem51 movement, rated at an outstanding +/- 7 sec/day, can be had for as little as $100. That's Seiko 5 money, mate. The new Tissot Swissmatic line also uses a modified version of the this revolutionary, but disposable, new movement.
Seiko makes great watches and has reliable, proven, workhorse movements. I own ten Seikos and love them all. My first was a Seiko 5 with the workhorse 7s26c that keeps decent but inconsistent time, and my most recent is a Grand Seiko 9S85 hi-beat that rivals the best Swiss chronometers. Seiko's high end fare is excellent, and their Spring Drive is the most precise mechanically powered (but quartz regulated) movement in the world, but their consumer grade movements are not competitive with the precision/accuracy of their Swiss peers, and most honest Seiko fans (myself included) will readily admit as much.
FYI, most Seiko mechanicals were designed for simplicity, durability, and ease of maintenance. They were not designed to be precise timekeepers, which requires manual adjustment for positional variance and other factors after the movement is produced. Most sold today are based on the entry-level, unadjusted 7S26 base movement, which can be had for $60. The 4R is just a 7S that hacks/winds. It is no more, and possibly less, accurate than the 7Sc. The 6R15 adds a spron spring for better power reserve and a modest gain in precision, but I've found it to be only marginally better than the 7S on which it's based. The 4Hz versions (like 6R21/27s) beat faster but are no more precise than the 6R15, in my experience, and the fact that Seiko rates them identically is telling. Like I said, great movements in their own right, but nowhere near as precise as similarly priced, or even cheaper Swiss offerings.
Finally, if you are absolutely adamant about staying Japanese, I'd take the MIyota 9-series over the Seiko 6R any day. It's widely known to be a much more precise movement in practice (in spite of official specs that are no better than Seiko 6R), in part because of its higher (4Hz) beat rate. I've even tested some 9-series that compete with the Swiss ETAs. The 9015 and its derivatives are very good movements for the money, and you don't have to spend anywhere near $600 to get one. Just ask around.