League leaders Blades made it ten unbeaten with a battling display in tough conditions at Oldham.
Jay O'Shea's goal just after the break cancelled out Tope Obadeyi's first half strike.
Wilder made three changes for the trip across the Pennines - Wright, Done and O'Shea all came in. Coutts dropped to the bench, Duffy missed out with a back injury and Lafferty was unavailable due to international duty with Northern Ireland. Oldham's teamsheet saw Blades old boy Flynn on the bench.
A bare pitch was always going to be a factor in the game and United began with Done at left wing-back and Basham in midfield. The home side settled quicker, they won three corners inside the opening ten minutes and O'Connell deflected an Obadeyi shot wide.
United hit back with a couple of corners and a Hanson came close to attaching himself to crosses from Done and O'Shea, the latter saw goalkeeper Ripley get a vital touch.
On 31 minutes Erwin's deep cross saw Law head over after rising above Done and Oldham were enjoying territorial advantage, which paved the way to them opening the scoring on the stroke of half-time.
Ebanks-Landell surrendered possession and Oldham moved the ball from left to right where Law's cross was perfect for OBADEYI to touch home from close range.
The first chance of the second period also went Oldham's way but Erwin's flicked header from Taylor's cross was just wide and then United netted with the first chance on target. Hanson challenged as a cross from right was whipped in and the ball dropped for O'SHEA to steer a half-volley into the bottom corner of Ripley's net
Chances were exchanged with Fane shooting wide and O'Connell heading over a corner, whilst Moore was well placed as Erwin shot into the sidenetting just after the hour.
Coutts and Lavery were introduced, either side of an Oldham effort which saw Moore turn a dangerous Fane cross around a post. As the final ten minutes approached Hanson connected with a deep O'Connell cross but headed wide.
Freeman and Coutts linked up to present a chance for Sharp but the skipper fired over on 86 minutes and soon after a Freeman cross saw Hanson head down but efforts from both Sharp and Lavery were blocked.
Lavery was injured in the move and replaced by Clarke just ahead of four minutes of added time being announced.
In injury-time, from a Coutts cross, Sharp's header was saved by Ripley and the added time was extended as a number of Oldham players needed treatment but a point each was the result after a tough battle.
Oldham: Ripley, Law, B. Wilson (Edmundson 45), Gerrard, Banks, Taylor, Erwin (Ngoo 86), Fane (Flynn 89), P. Clarke, Green, Obedeyi.
Unused: Croft, Kettings, Mantack, Osei.
Blades: Moore, Fleck, O'Connell, Basham, Sharp, Done (Lavery 76, L. Clarke 90), Wright, Hanson, Freeman, Ebanks-Landell, O'Shea (Coutts 72).
Unused: Long, J. Wilson, Chapman, Carruthers.