Lynn suffered their biggest home league defeat of the season on Saturday.
Linnets' boss Keith Webb said: "It's the first real bad run I've had since I've been here.
"You find out about players when things are at their really worst. If they want to play for this club they are going the wrong way about it."People pay money to watch us. These lads are still getting decent wages to play football and they're not doing that. We're not safe yet.
"If our penalty goes in, it's a different game. They go straight up the other end, it's 3-0 and game over."
Webb said uncertainty over his future is not helping. His contract expires next month and there is a board meeting planned this week.
Webb said: If the players want me to have the job, then they are going a funny way about it.
"I'm led to believe there is a meeting on Tuesday.
"People don't look at the financial problems. Supporters will only look at results and performances, and they have every right to moan."
On Greg Crane making his 99th appearance, Webb added: "I put him in because he did well in the Reserves. They're a big side, and we needed his height in the team.
"Unless we've got an open goal, one yard off the line, we can't seem to score. That has been the problem all season."
Since passing the 45 point mark a couple of weeks ago the team seems to lack all motivation. Lynn haven't scored in 270 minutes of league football.
They shows no spark or confidence, and as the game went on, defensively looked a shambles.
Lynn had no answer to the set-piece skills of Ian Ross.
They had an early warning when an Anthony Howell corner was met by Tony Butler, but this was headed off the line by Mark Camm.
Alfreton went ahead on the half-hour mark when Matthew Wilson hit a post with a header from a Ross corner and skipper Kyle McFadzean scored with the follow-up.
Jack Defty had Lynn's only first half chance, toe-poking tamely at keeper Stephen Dickinson after shrugging off two defenders.
The hosts had a good spell just after the break, as Andy Johnson's shot was blocked and Defty headed the rebound at Dickinson, who then saved well from an Adam Smith free-kick.
McFadzean cleared off the line from a Ross Kelly free-kick.
Scott Howie denied Simon Marples from the penalty spot after Mark Peters had fouled Anton Brown.
Ross doubled the lead with an expert free-kick into the corner of the net.
Lynn were awarded a penalty after Butler pushed Defty but Camm's was a feeble effort at Dickinson.
Alfreton went up the other end and made the game safe as Tom Curtis converted a cross under Howie's body. England semi-pro international striker Paul Clayton turned and shot home the fourth with ten minutes to go.
|Lynn: Howie, Graham (Dwyer 58), Smith, Peters, Thomas, Camm, Kelly (Mitchell 74), Johnson, J Defty (Renton 85), Joachim, Crane. Subs not used: Fisk, Murray. Booked: Camm 63 mins, Defty 71, Smith 82.
Alfreton: Dickinson, Marples, McFadzean, Butler, Wilson, Ross, Law (Hall 82), Brown, Clayton (Cusworth 87), Curtis, Howell (Hearn 78). Not used: Flint, Sutcliffe.
Goals: McFadzean 30, Ross 63, Curtis 70, Clayton 80.
Referee: D R Plowright (Notts). Attendance: 1007 MoM: Scott Howie.