NO, it's definitely not home advantage. But, I guess it's better than playing in PAK, where everything including wicket is against home team.
I kept saying that PAK's No. 1 ranking in Test is only because of playing in UAE - at least wickets denied both teams, but there is enough time for the dominant side (most cases PAK) to force a result. The slow burning tactics Misbah used in UAE, I can bet most of his wins would have ended in lame draws in PAK, with home side dominating, just running out of time to force a result.
I can explain the situation perfectly. In PAK, most places, it's impossible to play more than 5.5 hours in winter, that's considering no fog - add slow over rate and time wasting, we are basically talking about 350-370 overs Test max. That's just not enough time to force a result on decent wicket, unless other side is in suicide mood. Add to that slowness of wickets, and dead surface (it doesn't break in PAK like IND, just gets slower & lower, spinners hardly can do anything if batsmen are in dead bat mood), crowd disturbance, fog, smog, terrorist attack .......... it'll be miracle if a Test on decent wicket ends in direct result. Other solution is there, which they tried sometimes for devastating effect - make the wickets a mine field, where more or less 300 overs are enough for a result, just like recent QeA style wickets. Result, that takes the home advantage out - at home PAK is playing on alien condition.
I can categorically prove this from history. That ZIM series was lost in 1st Test, on a shockingly green wicket & PAK being put in (some Mabwanga took 6-7 wickets

) - next 2 were severely interrupted by fog. ENG 2001, on absolute rubbish, PAK dominated an ENG side which should have lost 3-0, in 1st 2 Tests, Poms kicked their way to survive 370-380 overs Test. Last one was a 450 overs Test, and they had one good day - won in under street light. SAF 1996, 1st 2 Tests, home side was in better position, but ran out of time; 3rd Test had to be played on a greener top that St Georges Park, SAF won in. It's no surprise that from 1990 to 2005, PAK actually lost 3 series at home to SRL, one against ZIM, should have lost one Test against BD of 2002, barring an outstanding innings (& something else, Latif can tell better), lost a series against Poms in 2000 (should have won the Faisalabad Test 2004-05 as well to make it 3-0, it had ~400 overs in total), lost a series to SAF, AUS, and failed to beat K Srikkant's IND in 1989. Should have lost the SRL series in 1990-91 as well - won by a whisker with other 2 Tests ending in draw, and even in 1994, ZIM got away with 1 draw and loss by the edge of ear.
PAK is the worst place to play Test cricket, more so for a team like PAK, under PCB management. I should mention this - PAK's last home series was against SRL in 2009. Before that series, Intekhab threatened SRL with pace & bounce .... 1.5 Tests had score card like 650, 765/5d, 170/4, 650/6d, 115/0 (brash fire) ..... it cost, what could have been an excellent International career for Sohail Khan. Unless there is enough changes in usual rubbish moods operandi, it's better to stick in UAE, which is the 2nd worst venue in world for PTC.