You are right that we have never tasted victory away from home. From 5 games away, Liverpool are only able to get 2 points from draws against Fulham and Everton in the Premier League.
Playing in London against Tottenham this week will be Liverpool's 6th away game this season and Liverpool will try as much as possible to get points and I don't think that is a difficult thing even though Tottenham will also be looking to win to secure a place in the table.
After you have made the right analyzes, you just concluded it with another thing. Liverpool fans should only just have hope that Liverpool will draw. Liverpool can not be underestimated and may win but the chance is very low and less possible than for Tottenham to win or draw the match. If I choose between the two clubs, I will choose Tottenham. It is obvious that you are a Liverpool fan, that has been the reason you noticed that Liverpool has been playing not impressively in away matches and yet you are supporting the club to win Tottenham.
I would say the most unpredictable performance this season has been Liverpool's. They don't even know in which match they will play well. In some matches, they won by huge goal margins. They scored 9 goals against Bournemouth. They scored 7 goals against the Rangers in the Champions League. Again this same squad lost against the likes of Nottingham Forest and Leeds United. So it is impossible to predict whether they will win against Tottenham.