It's related absolutely to your terminal. VTE doesn't support blink, If you use gnome-terminal, tilda, guake, terminator, xfce4-terminal and so on according to VTE, you won't have blink.
If you use or want to use blink on VTE, you have to use xterm.
You can use infocmp command with terminal name:
#infocmp vt100
#infocmp xterm
#infocmp vte
For example :
# infocmp vte
# Reconstructed via infocmp from file: /usr/share/terminfo/v/vte
vte|VTE aka GNOME Terminal,
am, bce, mir, msgr, xenl,
colors#8, cols#80, it#8, lines#24, ncv#16, pairs#64,
acsc=``aaffggiijjkkllmmnnooppqqrrssttuuvvwwxxyyzz{{||}}~~,
bel=^G, bold=\E[1m, civis=\E[?25l, clear=\E[H\E[2J,
cnorm=\E[?25h, cr=^M, csr=\E[%i%p1%d;%p2%dr,
cub=\E[%p1%dD, cub1=^H, cud=\E[%p1%dB, cud1=^J,
cuf=\E[%p1%dC, cuf1=\E[C, cup=\E[%i%p1%d;%p2%dH,
cuu=\E[%p1%dA, cuu1=\E[A, dch=\E[%p1%dP, dch1=\E[P,
dim=\E[2m, dl=\E[%p1%dM, dl1=\E[M, ech=\E[%p1%dX, ed=\E[J,
el=\E[K, enacs=\E)0, home=\E[H, hpa=\E[%i%p1%dG, ht=^I,
hts=\EH, il=\E[%p1%dL, il1=\E[L, ind=^J, invis=\E[8m,
is2=\E[m\E[?7h\E[4l\E>\E7\E[r\E[?1;3;4;6l\E8,
kDC=\E[3;2~, kEND=\E[1;2F, kHOM=\E[1;2H, kIC=\E[2;2~,
kLFT=\E[1;2D, kNXT=\E[6;2~, kPRV=\E[5;2~, kRIT=\E[1;2C,
kb2=\E[E, kbs=\177, kcbt=\E[Z, kcub1=\EOD, kcud1=\EOB,
kcuf1=\EOC, kcuu1=\EOA, kdch1=\E[3~, kend=\EOF, kf1=\EOP,
kf10=\E[21~, kf11=\E[23~, kf12=\E[24~, kf13=\E[1;2P,
kf14=\E[1;2Q, kf15=\E[1;2R, kf16=\E[1;2S, kf17=\E[15;2~,
kf18=\E[17;2~, kf19=\E[18;2~, kf2=\EOQ, kf20=\E[19;2~,
kf21=\E[20;2~, kf22=\E[21;2~, kf23=\E[23;2~,
kf24=\E[24;2~, kf25=\E[1;5P, kf26=\E[1;5Q, kf27=\E[1;5R,
kf28=\E[1;5S, kf29=\E[15;5~, kf3=\EOR, kf30=\E[17;5~,
kf31=\E[18;5~, kf32=\E[19;5~, kf33=\E[20;5~,
kf34=\E[21;5~, kf35=\E[23;5~, kf36=\E[24;5~,
kf37=\E[1;6P, kf38=\E[1;6Q, kf39=\E[1;6R, kf4=\EOS,
kf40=\E[1;6S, kf41=\E[15;6~, kf42=\E[17;6~,
kf43=\E[18;6~, kf44=\E[19;6~, kf45=\E[20;6~,
kf46=\E[21;6~, kf47=\E[23;6~, kf48=\E[24;6~,
kf49=\E[1;3P, kf5=\E[15~, kf50=\E[1;3Q, kf51=\E[1;3R,
kf52=\E[1;3S, kf53=\E[15;3~, kf54=\E[17;3~,
kf55=\E[18;3~, kf56=\E[19;3~, kf57=\E[20;3~,
kf58=\E[21;3~, kf59=\E[23;3~, kf6=\E[17~, kf60=\E[24;3~,
kf61=\E[1;4P, kf62=\E[1;4Q, kf63=\E[1;4R, kf7=\E[18~,
kf8=\E[19~, kf9=\E[20~, kfnd=\E[1~, khome=\EOH,
kich1=\E[2~, kind=\E[1;2B, kmous=\E[M, knp=\E[6~,
kpp=\E[5~, kri=\E[1;2A, kslt=\E[4~, meml=\El, memu=\Em,
op=\E[39;49m, rc=\E8, rev=\E[7m, ri=\EM, ritm=\E[23m,
rmacs=^O, rmam=\E[?7l, rmcup=\E[2J\E[?47l\E8, rmir=\E[4l,
rmkx=\E[?1l\E>, rmso=\E[m, rmul=\E[m, rs1=\Ec,
rs2=\E7\E[r\E8\E[m\E[?7h\E[!p\E[?1;3;4;6l\E[4l\E>\E[?1000l\E[?25h,
sc=\E7, setab=\E[4%p1%dm, setaf=\E[3%p1%dm,
sgr=\E[0%?%p6%t;1%;%?%p2%t;4%;%?%p5%t;2%;%?%p7%t;8%;%?%p1%p3%|%t;7%;m%?%p9%t\016%e\017%;,
sgr0=\E[0m\017, sitm=\E[3m, smacs=^N, smam=\E[?7h,
smcup=\E7\E[?47h, smir=\E[4h, smkx=\E[?1h\E=, smso=\E[7m,
smul=\E[4m, tbc=\E[3g, u6=\E[%i%d;%dR, u7=\E[6n,
u8=\E[?%[;0123456789]c, u9=\E[c, vpa=\E[%i%p1%dd,