We do not lose the "Paired-End" information. Bowtie2 assigns an "=" sign if both the mates are mapped. You can also verify this with flag information in sam file. The flag 3 indicates that the read is paired and read is mapped in proper pair.
I have loaded the BAM files in to IGV and I could always see the pairing information in IGV. All the Paired-End reads will be shown as pairs.
First few columns of my bam file generated by command
samtools view -f3 input.bam | less
2_1101_16120_2170_1 83 genome 1398915 42 80M = 1398734 -261 . . .
2_1101_16120_2170_2 163 genome 1398734 42 80M = 1398915 261 . . .
2_1101_15135_2869_1 99 genome 5319397 42 80M = 5319661 344 . . .
2_1101_15135_2869_2 147 genome 5319661 42 80M = 5319397 -344 . . .
This clearly indicates that the reads with _1 and _2 are next to each other. They are mapped with an insert size of 261bp and 344bp. They are paired ( indicated by = ). You can even check what does each flag means ( 83,163,99, 147)
83 = Read paired, read mapped in proper pair, First in pair and read reverse strand.
163 = Read paired, read mapped in proper pair, Second in pair and mate reverse strand.
99 = Read paired, read mapped in proper pair, First in pair and Mate reverse strand.
147 = Read paired, read mapped in proper pair, Second in pair and read reverse strand.
This clearly explains that the reads still have the paired information.