Hodgdon's 4831 was one of the company's founder B.E. (Bruce) Hodgdon surplus US government numbers that got this family concern going just after the end of WW2. As with many such powders sold by the late Mr. Hodgdon from his retired railroad boxcar stores on a rented Kansas farm in those early days, individual powder lots varied greatly and were sold as such with a lot number and advice that it was a 'fast' or 'slow' lot. (I read the reminiscences of a handloader from that era who said surplus '4895' could have burning rates and hence max loads that ranged from 1980s IMR-3031 through to 4320.)
In the early postwar period, the large US ammunition and ammunition component companies were opposed to handloading as they believed it threatened their sales, so IMR-4831 was not made available to the retail market for some years, likewise Winchester and Remington unprimed cases, bullets etc. This allowed a new breed of entrepreneurs into the market luckily, the big boys' refusal to play seeing farm and garage based outfits such as Speer, Hodgdon, and Hornady to become established and grow into respected secure businesses by the time that Big Corporation America woke up to the damage it was doing to its reputation and sales.
When newly made IMR powders did reappear on the retail market, Hodgdon's surplus 4831 was nearly used up, but was moreover now very old dating from 1944/45 and had become noticeably slower burning as a result of this prolonged storage. So, the (newly made) IMR version was faster burning than the old 'Hodgdon' originally IMR type - enough to cause serious pressure problems by straight substitution of IMR for H in a maximum load. When I started handloading 30 plus years ago and read every book on the subject I could find whether current or out of date, warnings about IMR v H4831 were normal currency.
In any event, when Hodgdon finally ran out of surplus IMR extruded powders, he and his heirs turned intially to ICI Nobel in Scotland, later ADI in Australia to manufacture replacements. It's said that Hodgdon specifically asked ICI Nobel to mirror the late model surplus powder's slower burning characteristics as his customers had got used to them.
Whether there is a significant difference today is more questionable, but some burning rate charts still list H4831 as a little slower burning.
HOWEVER ................ and this is the crucial part as far as I'm concerned, close or identical relative burning rates on a chart or list DO NOT mean they have the same properties or allow the use of anything like the same charge weights safely. Burning rate is only an indicator of likely suitable application in that something around H110, N110, Ramshot Enforcer suits cartridges with similar needs to heavy .44 Magnum and standard .22 Hornet applications while 4831, Re19/22, N160 etc suit 6.5X55, .284 Win, and .30-06. Having loaded both Hodgdon and IMR versions of 4895, I regard them as significantly different powders in cartridges like .308 Win, the IMR version allowing heavier charge weights before pressure signs kick in and also producing significantly higher MVs. That is despite their often being shown with identical burning rates on charts. Talk to any .284 Win F-Class user and he or she will say H4831 is THE powder for 168s to 180s. Nobody, or at any rate very few, recommend IMR-4831.
So, to go back to the OP's question, IMR and either version of Hodgdon 4831 are different powders but with similar applications and need to be worked up to what will likely be different maximum loads. Charge weights that give the smallest groups in any barrel / cartridge / bullet combination may vary significantly too. So far as Hodgdon H4831 alone is concerned, the company says the two versions give identical performance allowing substitution of charge weights in any cartridge / bullet combination. Since Hodgdon / ADI powders tend to vary a bit, sometimes more than a bit, by manufacturing lot and since one presumes 'standard' and 'sc' cut versions are by definition different lots anyway, I'd always look to go down marginally anyway in this substitution and work back up to get satisfactory results.